1. Solving Systems of Equations:
Word Problems

2. Systems of Equations Problem Solving Question #1
You sell tickets for admission to your school play and collect a total of $104. Admission prices are $6 for adults and $4 for children. You sold 21 tickets. How many adult tickets and how many children tickets did you sell?

3. Systems of Equations Problem Solving Question #2
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80 and some order the steak dinner for $17. If the total bill was $91, how many people ordered each type of dinner?

4. Systems of Equations Problem Solving Question #3
You bought the meat for
Saturday’s cookout. A
package of hot dogs cost
$1.60 and a package of
hamburger cost $5. You
bought a total of 8 packages
of meat and you spent $23.
How many packages of
hamburger meat did you buy?

5. Systems of Equations Problem Solving Question #4
Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50.
Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23.
How much does a pizza cost?

6. Systems of Equations Problem Solving Question #5
Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount for each mile driven. Benito rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spend $185. What is the charge per day and the charge per mile for the compact car?

7. Systems of Equations Problem Solving Question #6
Beach Hotel in Cancun is offering two weekend specials.
One includes a 2- night stay with 3 meals and cost $195.
The other includes a 3-night stay with 5 meals and cost $300.
What is the cost of a single meal?

8. Systems of Equations Problem Solving Question #7
You and your friend go to a Mexican restaurant. You order 2 tacos and 2 enchiladas. Your friend orders 3 tacos and 1 enchilada. Your bill was $ Your friend’s bill was $ What was the price of an enchilada?

9. Systems of Equations Problem Solving Question #8
For a community bake
sale, you purchases 12
pounds of sugar and 15
pounds of flour. Your
total cost was $ The
next day, you purchased 4 pounds of sugar and 10 pounds of flour. Your total cost the second day was $ Find the cost of a pound of sugar and a pound of flour.

10. Systems of Equations Problem Solving Question #9
A travel agency offers different getaways to
New York. Plan A includes hotel
accommodations for 3-nights and 2-pair of
baseball tickets for
$645. Plan B includes
hotel accommodations
for 5-nights and 4-pairs
of baseball tickets for
$ How much does
a single hotel cost and how
much does a single pair of
baseball tickets cost?

11. Systems of Equations Problem Solving Question #10
Tickets for the theater are $5 for the balcony and $10 for the orchestra. If 600 tickets were sold and the total receipts were $4750, how many tickets of each type were sold?

12. Systems of Equations Problem Solving Question #11
You bought 5 pairs of socks for $19. The wool socks you bought cost $5 per pair. The cotton socks you bought cost $3 per pair. How many of each type of sock did you buy?

13. Systems of Equations Problem Solving Question #12
A sporting good store sells right-handed and
left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue of $528. Right handed gloves cost $48 and left-handed gloves cost $36. How many right-handed gloves were sold?